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Finding the Fourth Proportional to 845.01, 1,166.28 and 546.42

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Solution

The fourth proportional to 845.01, 1,166.28 and 546.42 is: 754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.01 : 1,166.28 = 546.42 : x
  2. Step 2: Convert to fraction form
    845.01/1,166.28 = 546.42/x
  3. Step 3: Cross multiply
    845.01x = 1,166.28 × 546.42
  4. Step 4: Simplify right side
    845.01x = 637,278.72
  5. Step 5: Solve for x
    x = 637,278.72/845.01
  6. Step 6: Final answer
    x = 754.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.